Factor Expressions

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors, such that no further factoring is possible.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to factor expressions.

Front

How do you find the GCF of 24 and 16?

Back

The GCF of 24 and 16 is 8, as it is the largest number that divides both 24 and 16 without leaving a remainder.

Front

Factor the expression: 24 + 16q

Back

8(3 + 2q)

Front

Factor the expression: 16w + 80m

Back

16(w + 5m)

Front

Factor the expression: 12 - 4b

Back

4(3 - b)

Front

Can the expression 7x + 48y be factored?

Back

No, it cannot be factored.

Front

Factor the expression: 35c - 15d

Back

5(7c - 3d)

Front

What is a prime factor?

Back

A prime factor is a factor that is a prime number, meaning it has no positive divisors other than 1 and itself.